Finite Elements Method In Structural Analysis

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Structural Analysis

Course Contents

General information and matrix calculations. Elastisity relations. Finite Element Method. Introduction. Bending calculations under the effect of general external load by the help of finite element method. Stability calculations by the help of finite element method. Finite element method under the effect of external dynamical effects. Shape functions. Beam calculations by the help of finite element method. Beam bending calculations by the help of finite element method. Buckling calculations under the effect of axial compressive load by the help of finite element method. Plane stress and plane strain. Thin plate. Plane strain. Plate calculations. Bending calculations of thin plate by the help of rectangular finite element method. Stability calculations of an orthotrop plate by the help of rectangular finite element method. Thin plate’s calculations on elastic foundations by the help of finite element method. Free vibration analysis of deformed plates. Bending calculations of thin plates by the help of rectangular finite elements.

Weekly Schedule

1) Structural forces, necessity of the structural dynamics, problems and solutions in structural dynamics.
2) Single Degree of Freedom Systems, equation of motion, definition of the structural prolem in vibration and solution techniques.
3) Single Degree of Freedom Systems, equation of motion, definition of the structural prolem in vibration and solution techniques.
4) Free vibration; undamped free vibration, free vibration with damping, developing the differential equation of motions, solution to the differential equations.
5) Analysis of the structural response to the harmonic excitations and periodic input motions, solution to the inputs for the cases with damping and without damping.
6) Analysis of the structural response to the harmonic excitations and periodic input motions, solution to the inputs for the cases with damping and without damping.
7) Midterm exam
8) Midterm examination/Assessment
9) Analysis for the structural response to the arbitrary excitations.
10) Analysis for the structural response to the step, ramp and triangular pulse excitations.
11) Numerical evaluation of dynamic responses; time stepping methods, central difference method, Newmarks method, stability in camputation.
12) Numerical evaluation of dynamic responses; time stepping methods, central difference method, Newmarks method, stability in camputation.
13) A study on analysis of nonlinear responses
14) A study on analysis of nonlinear responses
15) Turkish Earthquake resistant design Code for structures under earthquake loads (TDY'07)(Design spectra and Equivalent earthquake loads). Calculation of modal displacements in the structure, Computer applications and examples via MatLab.
16) Final examination

Recommended or Required Reading

1- [1] Yapı Dinamiği, Vedat Yerlici, Boğaziçi Universitesi, 2007, Türkçe
2- [2] Dynamics of Structures, Anıl, K., Chopra, 2nd edition
3- [1] Structural Dynamics, Vedat Yerlici, Boğaziçi Universitesi, 2007, (in Turkish)
4- [2] Dynamics of Structures, Anıl, K., Chopra, 2nd edition

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Lab / Workshop
4) Self Study
5) Problem Solving

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

English

Work Placement(s)

Not Required